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Finding the Fourth Proportional to 701.16, 967.57 and 406.50

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Solution

The fourth proportional to 701.16, 967.57 and 406.50 is: 560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.16 : 967.57 = 406.50 : x
  2. Step 2: Convert to fraction form
    701.16/967.57 = 406.50/x
  3. Step 3: Cross multiply
    701.16x = 967.57 × 406.50
  4. Step 4: Simplify right side
    701.16x = 393,317.21
  5. Step 5: Solve for x
    x = 393,317.21/701.16
  6. Step 6: Final answer
    x = 560.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.